binomial theorem relationship between coefficients (1 Viewer)

cos16mh · Feb 16, 2018

Could I have the working of this question please

Find the coefficient of the x^3 term in (1+x)^2(1+x)^8

InteGrand · Feb 16, 2018

cos16mh said:
Could I have the working of this question please

Find the coefficient of the x^3 term in (1+x)^2(1+x)^8

$\noindent \textbf{Hint.} Since the base is the same ($(1+x)$ both times), we can combine the two factors:$

$(1+x)^{2}(1+x)^{8} = (1+x)^{???}.$

$\noindent See if you can fill in the ``???'' using your knowledge of index laws, and then make use of the binomial theorem.$

HeroWise · Feb 16, 2018

This should be alright

binomial theorem relationship between coefficients (1 Viewer)

cos16mh

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